Open Access

ARTICLE

The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals

Jin Li¹, De-hao Yu^{2 3}

1 School of Science, Shandong Jianzhu University, Jinan 250101, China.
2 School of Science, Xiamen University, Xiamen 361005, China.
3 LSEC, ICMSEC, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100190 , China.

Computer Modeling in Engineering & Sciences 2011, 82(3&4), 233-252. https://doi.org/10.32604/cmes.2011.082.233

Abstract

The composite rectangle (midpoint) rule for the computation of multi-dimensional singular integrals is discussed and the superconvergence results is obtained. When the local coordinate is coincided with certain priori known coordinates, we get the convergence rate one order higher than the global one. At last, numerical examples are presented to illustrate our theoretical analysis which agree with it very well.

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Citations